42172416 has 192 divisors, whose sum is σ = 143128440. Its totient is φ = 11796480.

The previous prime is 42172397. The next prime is 42172439. The reversal of 42172416 is 61427124.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 42172416.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3244026 + ... + 3244038.

Almost surely, 2^42172416 is an apocalyptic number.

42172416 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42172416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71564220).

42172416 is an abundant number, since it is smaller than the sum of its proper divisors (100956024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42172416 is a wasteful number, since it uses less digits than its factorization.

42172416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 42172416 is about 6494.0292577105. The cubic root of 42172416 is about 348.0776679598.

The spelling of 42172416 in words is "forty-two million, one hundred seventy-two thousand, four hundred sixteen".